On subadditivity of Kodaira dimension in positive characteristic
Speaker: Zsolt Patakfalvi, Princeton University
Abstract: Kodaira dimension is a fundamental (if not the most fundamental) birational invariant of algebraic varieties. It assigns a number between 0 and the dimension or negative infinity to every birational equivalence class of varieties. The bigger this number is the more the variety is thought of as being "hyperbolic". Subadditivity of Kodaira dimension is a conjecture of Iitaka stating that for an algebraic fiber space f : X -> Y, the Kodaira dimension of the total space is at least as big as the sum of the Kodaira dimensions of the generic fiber and the base. I will present a positive answer to the above conjecture over a field of positive characterisitc, when Y is of general type, f is separable and the Hasse-Witt matrix of the generic fiber is not nilpotent.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm